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Finding the Third Proportional to 173,207 and 259,811

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Solution

The third proportional to 173,207 and 259,811 is: 389,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,207 : 259,811 = 259,811 : x
  2. Step 2: Convert to fraction form
    173,207/259,811 = 259,811/x
  3. Step 3: Cross multiply
    173,207x = 259,811 × 259,811
  4. Step 4: Simplify right side
    173,207x = 67,501,755,721
  5. Step 5: Solve for x
    x = 67,501,755,721/173,207
  6. Step 6: Final answer
    x = 389,717.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.